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Finding the Fourth Proportional to 8,055.16, 11,108.45 and 6,166.82

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Solution

The fourth proportional to 8,055.16, 11,108.45 and 6,166.82 is: 8,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.16 : 11,108.45 = 6,166.82 : x
  2. Step 2: Convert to fraction form
    8,055.16/11,108.45 = 6,166.82/x
  3. Step 3: Cross multiply
    8,055.16x = 11,108.45 × 6,166.82
  4. Step 4: Simplify right side
    8,055.16x = 68,503,811.63
  5. Step 5: Solve for x
    x = 68,503,811.63/8,055.16
  6. Step 6: Final answer
    x = 8,504.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.